Question

The frog population at a lake doubles every week. The population can be modeled by f(x) = 15(2)x and f(6) = 960. What does the 960 represent?
a. the population after six weeks
b, the starting population
c. the rate of population increases
d. the number of weeks that have passed

Answer 1

Answer:

a is the correct option.

Step-by-step explanation:

We have been given the population model is $f(x)=15(2)^x, f(6)=960$

Here x represents number of weeks and f(x) is population of frog after x weeks.

For x= 6, we have

$f(6)=15(2)^6\\\\f(6)=15\times 64\\f(6)=960$

It means that the population after 6 weeks is 960.

Hence, f(6)=960 represents the population after 6 weeks.

a is the correct option.